%0 Conference Proceedings
%T Optimal Trajectories of a UAV Base Station Using Lagrangian Mechanics
%+ Réseaux, Mobilité et Services (RMS)
%+ Département Informatique et Réseaux (INFRES)
%+ Orange Labs [Lannion]
%+ Laboratoire Traitement et Communication de l'Information (LTCI)
%A Coupechoux, Marceau
%A Darbon, Jérôme
%A Kélif, Jean-Marc
%A Sigelle, Marc
%< avec comité de lecture
%Z CDKS:Infocomwkshp-19
%( IEEE International Conference on Computer Communications (INFOCOM), Workshop on Mission-Oriented Wireless Sensor, UAV and Robot Networking (MISARN)
%B IEEE International Conference on Computer Communications (INFOCOM), Workshop on Mission-Oriented Wireless Sensor, UAV and Robot Networking (MISARN)
%C Paris, France
%P 1-6
%8 2019-04
%D 2019
%Z Computer Science [cs]/Networking and Internet Architecture [cs.NI]
%Z Mathematics [math]/Optimization and Control [math.OC]Conference papers
%X This paper considers the problem of optimizing the trajectory of an Unmanned Aerial Vehicle (UAV) Base Station (BS). A map is considered, characterized by a traffic intensity of users to be served. The UAV BS must travel from a given initial location at an initial time to a final position within a given duration and serves the traffic on its way. The problem consists in finding the optimal trajectory that minimizes a certain cost depending on the velocity and on the amount of served traffic. The problem is formulated using the framework of Lagrangian mechanics. When the traffic intensity is quadratic (single-phase), we derive closed-form formulas for the optimal trajectory. When the traffic intensity is bi-phase, necessary conditions of optimality are provided and an Alternating Optimization Algorithm is proposed, that returns a trajectory satisfying these conditions. The Algorithm is initialized with a Model Predictive Control (MPC) online algorithm. Numerical results show how the trajectory is improved with respect to the MPC solution.
%G English
%L hal-02288564
%U https://hal.telecom-paris.fr/hal-02288564
%~ INSTITUT-TELECOM
%~ ENST
%~ INSMI
%~ TELECOM-PARISTECH
%~ PARISTECH
%~ TDS-MACS
%~ UNIV-PARIS-SACLAY
%~ TELECOM-PARISTECH-SACLAY
%~ LTCI
%~ INFRES
%~ RMS
%~ INSTITUTS-TELECOM